Let f(x), g(x) be continuous functions defined in the range of 0≤x≤1.
(1) Find f(x) such that f(x)\equal{}\int_0^1 e^{x\plus{}t}f(t)\ dt.
(2) Find g(x) such that g(x)\equal{}\int_0^1 e^{x\plus{}t}g(t)\ dt\plus{}x. calculusintegrationfunctioncalculus computations